Fractions Class 6 RS Aggarwal Exe-4E Goyal Brothers ICSE Maths Solutions

Fractions Class 6 RS Aggarwal Exe-4E Multiplication and Division Goyal Brothers Prakashan ICSE Foundation Maths Solutions. We provide step by step Solutions of ICSE Class-6 Foundation RS Aggarwal Mathematics of Goyal Brothers Prakashan. Visit official Website CISCE for detail information about ICSE Board Class-6 Mathematics.

Fractions Class 6 RS Aggarwal Exe-4E Goyal Brothers ICSE Maths Solutions

Fractions Class 6 RS Aggarwal Exe-4E Multiplication and Division Goyal Brothers Prakashan ICSE Foundation Maths Solutions

Board ICSE
Publications Goyal brothers Prakashan
Subject Maths
Class 6th
Ch-4 Fraction
Writer RS Aggrawal
Book Name Foundation
Topics Solution of Exe-4E
Academic Session 2023 – 2024

Multiplication and Division of Fractions

Fractions Class 6 RS Aggarwal Exe-4E Goyal Brothers Prakashan ICSE Foundation Maths Solutions

Page- 77,78

Exercise- 4E

Find the product :

Que-1:  5/7 x 2/3

Solution- (5×2)/(7×3)

= 10/21 Ans.

Que-2: 3/5 x 4/9

Solution- (3×4)/(5×9)

= 12/45 = 4/15 Ans.

Que-3: 12/35 x 14/27

Solution- (12×14)/(35×27)

= 168/945 = 8/45 Ans.

Que-4: 30/51 x 17/25

Solution- (30×17)/(51×25)

= 510/1275 = 2/5 Ans.

Que-5: 9/16 x 14/15

Solution- (9×14)/(16×15)

= 144/240 = 21/40 Ans.

Que-6: 2*(11/27) x 18

Solution- 65/27 x 18

= 1170/27 = 130/3 = 43*(1/3)Ans.

Que-7: 7*(1/12) x 8/17

Solution- 85/12 x 8/17

= (85×8)/(12×17)

= 680/204 = 10/3 = 3*(1/3) Ans.

Que-8: 8*(1/21) x 1*(1/13)

Solution- 169/21 x 14/13

= 2,366/273 = 26/3 = 8*(2/3) Ans.

Que-9: 7*(7/11) x 6*(3/16)

Solution- 84/11 x 99/16

= 8,316/176 = 189/4 = 76*(1/4) Ans.

Que-10: 11*(1/4) x 6*(7/9)

Solution- 45/4 x 61/9

= 2,745/76 = 305/4 = 76*(1/4) Ans.

Que-11: 1*(3/4) x 2*(1/7) x 4*(4/5)

Solution- 7/4 x 15/7 x 24/5

= 2,520/140 = 18 Ans.

Que-12:  3*(1/6) x 2*(3/4) x 2*(4/11)

Solution- 19/6 x 11/4 x 26/11

= 5,434/264 = 247/12 = 20*(7/12) Ans.

Que-13:  Find the reciprocal of :

(i) 5/9                         (ii) 7/13                       (iii) 8                               (iv) 1/5
(v) 3*(2/5)                 (vi) 8*(1/9)                  (vii) 5*(3/8)                    (viii) 23

Solution- (i) 9/5
(ii) 13/7
(iii) 1/8
(iv) 5
(v) 17/5 = 5/17
(vi) 73/9 = 9/73
(viii) 43/8 = 8/43
(viii) 1/23

Divide :
Que-14: 13/21 ÷ 2/7

Solution- 13/21 x 7/2

= 91/42 = 13/6 = 2*(1/6) Ans.

Que-15: 3*(1/8) ÷ 5

Solution- 25/8 x 1/5

= 25/40 = 5/8 Ans.

Que-16:  1 ÷ 2*(3/5)

Solution- 1 ÷ 13/5

= 1 x 5/13 = 5/13 Ans.

Que-17: 7*(5/9) ÷ 34

Solution- 68/9 ÷ 34/1

= 68/9 x 1/34

= 68/9×34 = 2/9 Ans.

Que-18: 70 ÷ 8*(2/5)

Solution- 70 ÷ 42/5

= 70 x 5/42

= 70×5/42 = 25/3 = 8*(1/3) Ans.

Que-19: 4*(1/2) ÷ 6*(1/2)

Solution- 9/2 ÷ 13/2

= 9/2 x 2/13

= 9×2/2×13 = 9/13 Ans.

Que-20: 5*(7/10) ÷  3*(1/6) 

Solution- 57/10 ÷ 19/6

= 57/10 x 6/19

= 57×6/10×19

= 9/5 = 1*(4/5) Ans.

Que-21: 10*(5/7) ÷ 1*(11/14)

Solution- 75/7 ÷ 25/14

= 75/7 x 14/25

= 75×14/7×25

= 6 Ans.

Que-22: 15*(8/9) ÷ 3*(2/3)

Solution- 143/9 ÷ 11/3

= 143/9 x 3/11

= 143×3/9×11

= 13/3 = 4*(1/3) Ans.

Que-23:  9*(4/5) ÷ 3*(23/25)

Solution- 49/5 ÷ 98/25

= 49/5 x 25/98

= 49×25/5×98

= 5/2 = 2*(1/2) Ans.

Que-24: 2*(17/38) ÷ 1*(12/19)

Solution- 93/38 ÷ 31/19

= 93/38 x 19/31

= 93×19/38×31

= 3/2 = 1*(1/2) Ans.

Que-25: 8*(7/25) ÷ 3*(1/15)

Solution- 207/25 ÷ 46/15

= 207/25 x 15/46

= 207×15/25×46

= 27/10 = 2*(7/10) Ans.

Que-26: The cost of 1 litre of milk is Rs 42*(3/5). Find the cost of 12*(1/2) litres of milk.

Solution- The cost of 1 litre of milk is 42*(3/5) = Rs 213/5
the cost of 12*(1/2) = 25/2 litre of milk is
= 213/5 ÷ 25/2
= 213/5 x 2/25
= 213×25/2×5
= 1065/2 = Rs 532*(1/2) Ans.

Que-27: The cost of 1 litre of petrol is Rs 65*(3/4). Find the cost of 36 litres of petrol.

Solution- cost of one litre of petrol = 65*(3/4)
= 263/4 =  Rs.64.75
cost of 36 litre of petrol = 36 × 65.75
= Rs 2367.00 Ans.

Que-28: The cost of 3*(1/2) metres of cloth is Rs 547*(3/4). Find the cost of 1 metre of cloth.

Solution-cost of 3 1/2 m = 547 3/4
7/2m = 2191/4
so, cost 1 m of cloth is
1m = 2191/ 4 ÷ 7/2
= 2191/4 x 2/7
= 2191×2/4×7
= 313/2 = Rs 156*(1/2) Ans.

Que-29: Tanvy cuts 54 m of cloth into pieces, each of length 3*(3/8)m. How many pieces does she get ?

Solution-  The total length of cloth = 54m
the length of each peace=3*(3/8) = 27/8
So, she get peace = 54 ÷ 27/8
= 16 Ans.

Que-30: A cord of length 126*(1/2)m has been cut into 46 pieces of equal length. What is the length of each piece ?

Solution-Length of Cord = 126 1/2 m
No. of Pieces = 46
Length of each piece = 126*(1/2) divided by 46
= 253/46
= 11/4 = 2*(3/4) m Ans.

Que-31: A car travels 283(1/2)km in 4(2/3) hours. How far does it go in 1 hour ?

Solution-  Given: Distance travelled = 283(1/2) km Time taken = 4(2/3) hours

First, let’s convert the mixed fractions into improper fractions: 283(1/2) = (283 * 2 + 1) / 2 = 567 / 2   and     4(2/3) = (4 * 3 + 2) / 3 = 14 / 3

Now, we can calculate the speed (distance travelled per hour):
Speed = Distance / Time
= (567 / 2) km / (14 / 3) hours
= (567 / 2) * (3 / 14) km/h
= (567 * 3) / (2 * 14) km/h
= 1701 / 28 km/h

Now, to find out how far the car goes in 1 hour, we’ll divide the total distance by the total time:
Distance in 1 hour = Speed * 1 hour
= (1701 / 28) km/h * 1 hour
= 1701 / 28 km = 243/4 km Ans.

Que-32: The area of a rectangular plot of land is 46(2/5) sq.m. If its length is 7(1/4)m, find its breadth.

Solution- area of rectangular plot = length x breadth

46*2/5 = 7*1/4 x breadth

232/5 = 29/4 x breadth

breadth = area / length

breadth = (232/5) / (29/4)

breadth = 928 / 145 = 32/5 = 6*(2/5) m Ans.

Que-33: The product of two fractions is 15(3/4). If one of them is 4(1/2), find the other.

Solution-The product of two fractions is 15 3/4 . If one of them is 4 1/2 then,
4*(1/2) × x = 15*(3/4)
9/2 × x = 63/4
9x/2 = 63/4
36x = 126
x = 21/6
x = 7/2
x = 3*(1/2) Ans.

— : end of Fractions Class 6 RS Aggarwal Exe-4E Multiplication and Division Goyal Brothers Publication :–

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